GCF of 1565/464, 9390/6526
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1565/464, 9390/6526 i.e 1565/1514032 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1565/464, 9390/6526.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 1565/464,9390/6526?
Given fractions are 1565/464,9390/6526
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 1565/464,9390/6526, numerators are 1565,9390
Denominators are 464,6526
The GCF of 1565,9390 is 1565 .
LCM of 464,6526 is 1514032.
The greatest common factor of 1565/464,9390/6526 = [GCF of 1565,9390]/[LCM of 464,6526]= 1565/1514032
Therefore, the GCF of 1565/464,9390/6526 is 1565/1514032.
To find the highest common factor of 1565,9390, we have to find the factors of both numbers and list the highest common factor.
The factors of 1565 are 1, 5, 313, 1565
The factors of 9390 are 1, 2, 3, 5, 6, 10, 15, 30, 313, 626, 939, 1565, 1878, 3130, 4695, 9390
The HCF of 1565,9390 is 1565.
Lets's calculate GCF of 1565,9390
| 5 | 1565, 9390 |
| 313 | 313, 1878 |
| 1, 6 |
∴ So the GCF of the given numbers is 5 x 313 = 1565
Greatest Common Factor of 1565,9390 By Matching Biggest Common Factor Method
Now, list down the factors of 1565
:1,5,313,1565
Now, list down the factors of 9390
:1,2,3,5,6,10,15,30,313,626,939,1565,1878,3130,4695,9390
Greatest Common Factor
We found the factors 1565,9390 . The biggest common factor number is the GCF number.
So the greatest common factor 1565,9390 is 1565.
Lets's calculate LCM of 464,6526
| 2 | 464, 6526 |
| 232, 3263 |
∴ So the LCM of the given numbers is 2 x 232 x 3263 = 1514032
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1565/1514032
Therefore, the GCF of Fractions 1565/464,9390/6526 is 1565/1514032
Least Common Multiple of 464,6526 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 464,6526 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(464,6526) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(464,6526) x common factors =2 x 1 = 2
LCM(464,6526) = ( 464 × 6526 ) / 2
LCM(464,6526) = 3028064 / 2
LCM(464,6526) = 1514032
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FAQs on GCF of Fractions of 1565/464, 9390/6526
1. What is the HCF of 1565,9390?
The HCF of 1565,9390 is 1565
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 1565/464, 9390/6526?
Answer: GCF of Numerators as per given numbers 1565/464, 9390/6526 is
GCF of Numerators i.e. for 1565,9390 is 1565
LCM of denominators i.e. for 464,6526 is 1514032.
Thus, GCF of Fractions is 1565/1514032.Finally, GCF of Fractions for 1565/464, 9390/6526 is 1565/1514032.